Mesons and tachyons with confinement and chiral restoration, and NA60
arXiv:hep-ph/0606189 · doi:10.1103/PhysRevD.74.065001
Abstract
In this paper the spectrum of quark-antiquark systems, including light mesons and tachyons, is studied in the true vacuum and in the chiral invariant vacuum. The mass gap equation for the vacua and the Salpeter-RPA equation for the mesons are solved for a simple chiral invariant and confining quark model. At T=0 and in the true vacuum, the scalar and pseudoscalar, or the vector and axial vector are not degenerate, and in the chiral limit, the pseudoscalar groundstates are Goldstone bosons. At T=0 the chiral invariant vacuum is an unstable vacuum, decaying through an infinite number of scalar and pseudoscalar tachyons. Nevertheless the axialvector and vector remain mesons, with real masses. To illustrate the chiral restoration, an arbitrary path between the two vacua is also studied. Different families of light-light and heavy-light mesons, sensitive to chiral restoration, are also studied. At higher temperatures the potential must be suppressed, and the chiral symmetry can be restored without tachyons, but then all mesons have small real masses. Implications for heavy-ion collisions, in particular for the recent vector meson spectra measured by the NA60 collaboration, are discussed.
arXiv comment9 pages, 5 figures, 3 tables
References in corpus (24)
- Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
- First Measurement of the rho Spectral Function in High-Energy Nuclear Collisions
- Chiral Restoration in Hot and/or Dense Matter
- On the Manifestation of Chiral Symmetry in Nuclei and Dense Nuclear Matter
- Continuum study of deconfinement at finite temperature
- Meson Structure in a Relativistic Many-Body Approach
- Multi-quark interactions with a globally stable vacuum
- Chirally symmetric quark description of low energy π-πscattering
- Thermal rho and sigma mesons from chiral symmetry and unitarity
- Relativistic Many-Body Hamiltonian Approach to Mesons
- Analytic proof that the Quark Model complies with the PCAC theorems
- Hyperfine meson splittings: chiral symmetry versus transverse gluon exchange
- A new Perspective on the Scalar meson Puzzle, from Spontaneous Chiral Symmetry Breaking Beyond BCS
- Chiral symmetry breaking solutions for QCD in the truncated Coulomb gauge
- Confinement and parity doubling in heavy-light mesons
- Confinement and chiral symmetry breaking in heavy-light quark systems
- Matching the QCD and Hadron Sectors and Medium Dependent Meson Masses; Hadronization in Relativistic Heavy Ion Collisions
- Stationary phase corrections in the process of bosonization of multi-quark interactions
- Quark Schwinger-Dyson Evaluation of the l1, l2 Coefficients in the Chiral Lagrangian
- Microscopic derivation of pion-nucleon and pion-Delta scattering lengths
- Comment on the proper QCD string dynamics in a heavy-light system
- Chiral symmetry restoration at finite temperature in the planar limit
- First results from NA60 on low mass muon pair production in In-In collisions at 158 GeV/nucleon
- Chiral Symmetry Breaking with Scalar Confinement